Spectral analysis for differential systems with a singularity

Mikhail Ignatyev

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arXiv · 1606.01563

Spectral analysis for differential systems with a singularity

Mikhail Ignatyev

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Abstract

We consider the differential system $y'-x^{-1}Ay-q(x)y=\rho By $ with $n\times n$ matrices $A,B, q(x)$, where $A,B$ are constant, $B$ is diagonal, $A$ and $q(x)$ are off-diagonal, $q(\cdot)\in W^1_1[0,\infty)$. Some distinguished fundamental system of solutions is constructed. Also, we discuss the inverse scattering problem and obtain the uniqueness result.

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BibTeX RIS

Mikhail Ignatyev. 2016-06-05. Spectral analysis for differential systems with a singularity. https://arxiv.org/abs/1606.01563

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